3 papers
math.NA2024
Error analysis of a first-order DoD cut cell method for 2D unsteady advection
Gunnar Birke, Christian Engwer, Jan Giesselmann +1
In this work we present an a priori error analysis for solving the unsteady advection equation on cut cell meshes along a straight ramp in two dimensions. The space discretization…
math.NA2023
Domain of Dependence stabilization for the acoustic wave equation on 2D cut-cell meshes
Gunnar Birke, Christian Engwer, Sandra May +1
Cut-cell meshes are an attractive alternative to avoid common mesh generation problems. For hyperbolic problems they pose additional challenges, as elements can become arbitrarily…
math.NA2023
DoD stabilization for higher-order advection in two dimensions
Florian Streitbürger, Gunnar Birke, Christian Engwer +1
When solving time-dependent hyperbolic conservation laws on cut cell meshes one has to overcome the small cell problem: standard explicit time stepping is not stable on small cut c…